Respuesta :

The length of the hypotenuse is 4.3. This is calculated as the square root of 3.4 squared plus 2.6 squared.

Answer:

Using Pythagoras theorem.

In any right angle triangle:

[tex]\text{Hypotenuse side}^2 = \text{Sum of the square of side}[/tex]

As per the statement:

For the values a = 3.4 and b = 2.6, which are legs of a right triangle.

We have to find c, the hypotenuse:

Apply the Pythagoras theorem, we have;

[tex]c^2 = a^2+b^2[/tex]

Substitute the values we have;

[tex]c^2=3.4^2+2.6^2 = 11.56+6.76 = 18.32[/tex]

then;

[tex]c=\sqrt{18.32} = 4.28018691[/tex]

Therefore, the value of c, the hypotenuse, to the nearest tenth is, 4.3 units